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Dynamical generation of a gauge symmetry in the double-exchange model

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Carmona, J. M. and Cruz, A. and Fernández Pérez, Luis Antonio and Jiménez, S. and Martín Mayor, Víctor and Muñoz Sudupe, Antonio and Pech, J. and Ruiz Lorenzo, J. J. and Tarancón, A. and Téllez, P. (2003) Dynamical generation of a gauge symmetry in the double-exchange model. Physics letters B, 560 (1-2). pp. 140-148. ISSN 0370-2693

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Official URL: http://doi.org/10.1016/S0370-2693(03)00382-4


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Abstract

It is shown that a bosonic formulation of the double-exchange model, one of the classical models for magnetism, generates dynamically a gauge-invariant phase in a finite region of the phase diagram. We use analytical methods, Monte Carlo simulations and finite-size scaling analysis. We study the transition line between that region and the paramagnetic phase. The numerical results show that this transition line belongs to the universality class of the antiferromagnetic RP^(2) model. The fact that one can define a universality class for the antiferromagnetic RP^(2) model, different from the one of the O(N) models, is puzzling and somehow contradicts naive expectations about universality.


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© 2003 Elsevier Science B.V. We thank very particularly José Luis Alonso for pointing this problem to us, for his encouragement and for many discussions. It is also a pleasure to thank Francisco Guinea for discussions. The simulations were performed in the Pentium IV cluster RTN3 at the Universidad de Zaragoza. We thank the Spanish MCyT for financial support through research contracts FPA2001-1813, FPA2000-0956, BFM2001-0718 and PB98-0842. V.M.-M. is a Ramón y Cajal research fellow (MCyT).

Uncontrolled Keywords:Antiferromagnetic RP(2) model; Classical spin system; Renormalization-group; Competing superexchange; Phase-transitions; 3 dimensions; Order; Exponents; Magnets.
Subjects:Sciences > Physics
Sciences > Physics > Physics-Mathematical models
ID Code:38655
Deposited On:02 Aug 2016 08:53
Last Modified:02 Aug 2016 08:53

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